<description/> <author>mbari 1215</author> <company/> <keywords/> <revisedBy>Jon</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>D0D28E04-D97C-47BF-95F6-F4640E4678F5</documentID> <versionID>4BECF492-7FEF-428B-9B00-E21CE4253620</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="small" definition="colon-equal" 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optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="us" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="519" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="238" left="72" top="6.75" width="369.75" height="28.5" align-x="72" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> NOTES TO CALCULATE THICKNESS OF OPTICAL WINDOWS 06/15/20 </text> </region> <region region-id="242" left="18" top="60.75" width="486.75" height="27.75" align-x="18" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="TTE1B308C0t00" charset="0">Design of Pressure Windows - Crystran</f> xxxxxxxx </text> </region> <region region-id="1" left="6" top="138.75" width="75" height="14.25" align-x="6" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> REQUIRED:<sp count="5"/> </text> </region> <region region-id="215" left="96" top="138.75" width="563.25" height="14.25" align-x="96" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Find the reqauired thickness of an optical window for a given Diameter and Pressure.<sp count="24"/> </text> </region> <region region-id="483" left="6" top="168.75" width="83.25" height="14.25" align-x="6" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> ASSUMED: <sp count="7"/> </text> </region> <region region-id="485" left="96" top="168.75" width="79.5" height="14.25" align-x="96" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Circular Window. </text> </region> <region region-id="3" left="6" top="210.75" width="44.25" height="14.25" align-x="6" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> GIVEN:<sp count="2"/> </text> </region> <region region-id="317" left="6" top="228.75" width="275.25" height="14.25" align-x="6" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Window Diameter & ambient pressure:P<sp count="31"/> </text> </region> <region region-id="495" left="24" top="258.75" width="130.5" height="14.25" align-x="24" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Diameter of Window<sp count="2"/>(D):<sp count="4"/> </text> </region> <region region-id="496" left="288" top="260.25" width="60" height="13.5" align-x="302.25" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult/> <ml:real>48.25</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="497" left="408" top="252.75" width="74.25" height="45" align-x="452.25" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult/> <ml:real>25.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.8996062992125988</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="2"/> </region> <region region-id="498" left="24" top="282.75" width="114.75" height="14.25" align-x="37.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Ambient Pressure (P):<sp count="5"/> </text> </region> <region region-id="499" left="288" top="284.25" width="60.75" height="13.5" align-x="300.75" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult/> <ml:real>2188.0</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="500" left="24" top="306.75" width="236.25" height="28.5" align-x="31.5" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Apparent Elastic Limit (Mat'l dependent) (F.a): (BK-7 glass = 9210psi) (Sapphire = 45000.psi)<sp count="2"/> </text> </region> <region region-id="501" left="288" top="308.25" width="57" height="15.75" align-x="303.75" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="a">F</ml:id> <ml:apply> <ml:mult/> <ml:real>9210</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="502" left="24" top="366.75" width="222" height="14.25" align-x="41.25" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Clamping Constant<sp count="2"/>(K.c=0.75, K.u=1.125<sp count="8"/> </text> </region> <region region-id="503" left="294" top="368.25" width="45.75" height="15.75" align-x="311.25" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="u">K</ml:id> <ml:real>1.125</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="504" left="18" top="396.75" width="156.75" height="14.25" align-x="18" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Assumed Safety Factor<sp count="2"/>(SF):<sp count="7"/> </text> </region> <region region-id="519" left="294" top="398.25" width="36.75" height="13.5" align-x="311.25" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SF</ml:id> <ml:real>1.5</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="487" left="12" top="432.75" width="95.25" height="14.25" align-x="12" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> SOLUTION: <sp count="10"/> </text> </region> <region region-id="489" left="18" top="456.75" width="129.75" height="14.25" align-x="18" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Window Thickness (T) :<sp count="7"/> </text> </region> <region region-id="490" left="18" top="488.25" width="79.5" height="36" align-x="31.5" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="u">K</ml:id> <ml:id xml:space="preserve">P</ml:id> </ml:apply> <ml:id xml:space="preserve">SF</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="a">F</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="507" left="288" top="500.25" width="61.5" height="13.5" align-x="300" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> 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<ml:real>0.60138049730923127</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="9"/> </region> <region region-id="382" left="42" top="564" width="436.5" height="6" align-x="42" align-y="564" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="10" display-width="435" display-height="4.5"/> </picture> <rendering item-idref="11"/> </region> <region region-id="510" left="18" top="582.75" width="85.5" height="29.25" align-x="33" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> 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background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">D</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>76.199999999999989</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="515" left="18" top="666.75" width="66.75" height="41.25" align-x="32.25" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">P</ml:id> <ml:apply> <ml:div/> 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<ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5457.7777777777765</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="130" left="42" top="768" width="437.25" height="15.75" align-x="42" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="18" display-width="435.75" display-height="14.25"/> </picture> <rendering item-idref="19"/> </region> <region region-id="52" left="12" top="792" width="6000" height="6" align-x="12" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="77" left="6" top="798" width="475.5" height="104.25" align-x="6" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Materials<sp count="20"/>E<sp count="2"/>(psi)<sp count="15"/> <f family="Symbol" charset="2">n</f> <sp count="24"/> <f family="Symbol" charset="2">r</f> <sp count="2"/>(lb/in^3)<sp count="26"/>S<f size="8"> y </f> <sp count="19"/>G<f size="5"> (psi)<sp count="8"/> </f> 6061-T6<sp count="20"/>10.0E6<sp count="14"/>.300<sp count="25"/>.0980<sp count="27"/>35 kpsi 7075-76<sp count="20"/>10.5E6<sp count="14"/>.3300<sp count="23"/>.1010<sp count="27"/>67 kpsi Titanium (pure)<sp count="9"/>15.5E6<sp count="14"/>.3400<sp count="23"/>.1630<sp count="27"/>55 kpsi Titanium 6AL-4V<sp count="5"/>17.0E6<sp count="14"/>.3250<sp count="23"/>.1610<sp count="27"/>120kpsi S.S. 17-4 ph<sp count="14"/>28.5E6<sp count="13"/>.3000<sp count="24"/>.2800<sp count="26"/>178kpsi S.S. 316<sp count="20"/>27.6E6<sp count="14"/>.305<sp count="25"/>.280<sp count="28"/>30 kpsi<sp count="12"/>10.6E6<sp count="21"/> </text> </region> <region region-id="213" left="48" top="930" width="12.75" height="13.5" align-x="48" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="20" display-width="11.25" display-height="12"/> </picture> <rendering item-idref="21"/> </region> <region region-id="111" left="126" top="936.75" width="176.25" height="14.25" align-x="126" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Convert deg Rankine to deg Fahienheit </text> </region> <region region-id="110" left="306" top="938.25" width="60.75" height="13.5" align-x="318" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> NOTES TO CALCULATE THICKNESS OF OPTICAL WINDOWS 06/15/20 </text> </region> <region region-id="242" left="18" top="60.75" width="486.75" height="27.75" align-x="18" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="TTE1B308C0t00" charset="0">Design of Pressure Windows - Crystran</f> xxxxxxxx </text> </region> <region region-id="1" left="6" top="138.75" width="75" height="14.25" align-x="6" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> REQUIRED:<sp count="5"/> </text> </region> <region region-id="215" left="96" top="138.75" width="563.25" height="14.25" align-x="96" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Find the reqauired thickness of an optical window for a given Diameter and Pressure.<sp count="24"/> </text> </region> <region region-id="483" left="6" top="168.75" width="83.25" height="14.25" align-x="6" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> ASSUMED: <sp count="7"/> </text> </region> <region region-id="485" left="96" top="168.75" width="79.5" height="14.25" align-x="96" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Circular Window. </text> </region> <region region-id="3" left="6" top="210.75" width="44.25" height="14.25" align-x="6" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> GIVEN:<sp count="2"/> </text> </region> <region region-id="317" left="6" top="228.75" width="275.25" height="14.25" align-x="6" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Window Diameter & ambient pressure:P<sp count="31"/> </text> </region> <region region-id="495" left="24" top="258.75" width="130.5" height="14.25" align-x="24" align-y="270" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Diameter of Window<sp count="2"/>(D):<sp count="4"/> </text> </region> <region 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xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.8996062992125988</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="2"/> </region> <region region-id="498" left="24" top="282.75" width="114.75" height="14.25" align-x="37.5" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Ambient Pressure (P):<sp count="5"/> </text> </region> <region region-id="499" left="288" top="284.25" width="60.75" height="13.5" align-x="300.75" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult/> <ml:real>2188.0</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="500" left="24" top="306.75" width="236.25" height="28.5" align-x="31.5" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Apparent Elastic Limit (Mat'l dependent) (F.a): (BK-7 glass = 9210psi) (Sapphire = 45000.psi)<sp count="2"/> </text> </region> <region region-id="501" left="288" top="308.25" width="57" height="15.75" align-x="303.75" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="a">F</ml:id> <ml:apply> <ml:mult/> <ml:real>9210</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="502" left="24" top="366.75" width="222" height="14.25" align-x="41.25" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Clamping Constant<sp count="2"/>(K.c=0.75, K.u=1.125<sp count="8"/> </text> </region> <region region-id="503" left="294" top="368.25" width="45.75" height="15.75" align-x="311.25" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="u">K</ml:id> <ml:real>1.125</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="504" left="18" top="396.75" width="156.75" height="14.25" align-x="18" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Assumed Safety Factor<sp count="2"/>(SF):<sp count="7"/> </text> </region> <region region-id="519" left="294" top="398.25" width="36.75" height="13.5" align-x="311.25" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SF</ml:id> <ml:real>1.5</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="487" left="12" top="432.75" width="95.25" height="14.25" align-x="12" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> SOLUTION: <sp count="10"/> </text> </region> <region region-id="489" left="18" top="456.75" width="129.75" height="14.25" align-x="18" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Window Thickness (T) :<sp count="7"/> </text> </region> <region region-id="490" left="18" top="488.25" width="79.5" height="36" align-x="31.5" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="u">K</ml:id> <ml:id xml:space="preserve">P</ml:id> </ml:apply> <ml:id xml:space="preserve">SF</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="a">F</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="507" left="288" top="500.25" width="61.5" height="13.5" align-x="300" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>15.275064631654475</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="8"/> </region> <region region-id="508" left="408" top="492.75" width="90.75" height="29.25" align-x="459.75" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">T</ml:id> <ml:real>25.4</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.60138049730923127</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="9"/> </region> <region region-id="382" left="42" top="564" width="436.5" height="6" align-x="42" align-y="564" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="10" display-width="435" display-height="4.5"/> </picture> <rendering item-idref="11"/> </region> <region region-id="510" left="18" top="582.75" width="85.5" height="29.25" align-x="33" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>25.4</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="511" left="162" top="590.25" width="54" height="15.75" align-x="175.5" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">T</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>38.099999999999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="13"/> </region> <region region-id="512" left="18" top="630.75" width="79.5" height="29.25" align-x="33.75" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">D</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>25.4</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mm</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="514" left="168" top="638.25" width="54.75" height="15.75" align-x="182.25" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">D</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>76.199999999999989</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="515" left="18" top="666.75" width="66.75" height="41.25" align-x="32.25" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">P</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="a">F</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="i">T</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">SF</ml:id> <ml:id xml:space="preserve" subscript="u">K</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="i">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="516" left="168" top="676.5" width="79.5" height="19.5" align-x="180.75" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="i">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">psi</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5457.7777777777765</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="130" left="42" top="768" width="437.25" height="15.75" align-x="42" align-y="768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="18" display-width="435.75" display-height="14.25"/> </picture> <rendering item-idref="19"/> </region> <region region-id="52" left="12" top="792" width="6000" height="6" align-x="12" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="77" left="6" top="798" width="475.5" height="104.25" align-x="6" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Materials<sp count="20"/>E<sp count="2"/>(psi)<sp count="15"/> <f family="Symbol" charset="2">n</f> <sp count="24"/> <f family="Symbol" charset="2">r</f> <sp count="2"/>(lb/in^3)<sp count="26"/>S<f size="8"> y </f> <sp count="19"/>G<f size="5"> (psi)<sp count="8"/> </f> 6061-T6<sp count="20"/>10.0E6<sp count="14"/>.300<sp count="25"/>.0980<sp count="27"/>35 kpsi 7075-76<sp count="20"/>10.5E6<sp count="14"/>.3300<sp count="23"/>.1010<sp count="27"/>67 kpsi Titanium (pure)<sp count="9"/>15.5E6<sp count="14"/>.3400<sp count="23"/>.1630<sp count="27"/>55 kpsi Titanium 6AL-4V<sp count="5"/>17.0E6<sp count="14"/>.3250<sp count="23"/>.1610<sp count="27"/>120kpsi S.S. 17-4 ph<sp count="14"/>28.5E6<sp count="13"/>.3000<sp count="24"/>.2800<sp count="26"/>178kpsi S.S. 316<sp count="20"/>27.6E6<sp count="14"/>.305<sp count="25"/>.280<sp count="28"/>30 kpsi<sp count="12"/>10.6E6<sp count="21"/> </text> </region> <region region-id="213" left="48" top="930" width="12.75" height="13.5" align-x="48" align-y="930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="20" display-width="11.25" display-height="12"/> </picture> <rendering item-idref="21"/> </region> <region region-id="111" left="126" top="936.75" width="176.25" height="14.25" align-x="126" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Convert deg Rankine to deg Fahienheit </text> </region> <region region-id="110" left="306" top="938.25" width="60.75" height="13.5" align-x="318" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">F</ml:id> <ml:apply> <ml:mult/> <ml:real>-459.69</ml:real> <ml:id xml:space="preserve">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="112" left="126" top="966.75" width="162" height="14.25" align-x="126" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Convert deg Kelvin<sp count="2"/>to deg Celcius </text> </region> <region region-id="113" left="312" top="968.25" width="62.25" height="13.5" align-x="325.5" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>-273.16</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="200" left="126" top="1002.75" width="130.5" height="14.25" align-x="126" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Convert depth Meters to bar </text> </region> <region region-id="201" left="312" top="1004.25" width="72" height="13.5" align-x="324.75" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Z</ml:id> <ml:apply> <ml:mult/> 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